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Finding the Fourth Proportional to 408,145.20, 612,304.20 and 123,812.40

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Solution

The fourth proportional to 408,145.20, 612,304.20 and 123,812.40 is: 185,744.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,145.20 : 612,304.20 = 123,812.40 : x
  2. Step 2: Convert to fraction form
    408,145.20/612,304.20 = 123,812.40/x
  3. Step 3: Cross multiply
    408,145.20x = 612,304.20 × 123,812.40
  4. Step 4: Simplify right side
    408,145.20x = 75,810,852,532.08
  5. Step 5: Solve for x
    x = 75,810,852,532.08/408,145.20
  6. Step 6: Final answer
    x = 185,744.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.